Calculating-machine.



E. FELT. CALCULATING MACHINE.

APPLICATION FILED APR. 5, 1 913.

Patented Oct. 7,1913.

8 SHEETSSHEE1 1 D. E. FELT.

' CALCULATING MACHINE.

APPLICATION FILED APR. 5, 19,13.

Patented Oct. 7, 1913.

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I 120M21- flarr/ 1 266 I I), E. FELT. CALCULATING MAGHINE.

APPLICATION FILED APR. 5, 1913.

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D. E. FELT.

CALCULATING MACHINE.

APPLICATION FILED APR. 5, 191a.

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Patented Oct. 7, 1913.

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D. 'E. FELT.

CALCULATING MACHINE. APPLwATIon FILED APR. 5, 1913.

1,074,704. Patented 0dt.7,1913.

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1) FELT. CALCULATING MACHINE.

' APPLICATION FILED APR. 5, 191a. 1;074,704. j Patented Oct. 7,1913.

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',Inmr' Patented 0ct.7, 1913.

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D033. 2. FELT, or cnrcaeo, rtm'nors;

CALCULATING-MACHINE.

Specification of Letters Patent,

Application filed April 5, 1913. Serial No. 759,190,

Patented Oct, '7, 1913.

To all whom it mayconcern: J

Be it known that I, Donn E. FELT, a citizen of the United States, residing at GM- cago, in the county of Cook and State of Illinois, have invented a new and useful Improvement in Calculating- Machines, of

which the following is a specification My invention relates to the. calculatlon of adaptingof such machines, and other machinesto which the inventionis found applicable, to the calculation or addition of common fractions; and it has for a further object to extend the range of computation to fractions of high denominator values without unduly increasing the number or complexity of mechanical parts, or the difliculty of manufacture and operation of the machine; and at the same time to have sutlicient of all 'the fractions dealt with visually designated to make the calculating operation convenient and free from error, and to enable any fraction to be registered by the operation of a single key. And the inven- .tion has for further objects such other imr provements in structure or function as may be found to obtain in 'the devices herein after described or claimed.

The invention comprises a method of and means for. registering and calculating frac tions; said method consisting of dividing or separating the. fractions into a lurality of parts, belongifig to orders of higher and lowerv values, and separately registering such values and separately accumulating them; and further consisting in carrying the aggregate of suchseparate fractional 1parts accumulated in any order, to the next igher order when said aggregate equals the unity of the said next higher order. A novel means for carrying out suchmethod comprises a plurality of orders of fraction numeral wheels having marks ex ressing the fractions to be dealt in, the mar s being so arranged that a complete revolution of the wheel of h ghest order is in value of express on equal to unity, and that one step of the wheel of lowest value is equal to the smallest fraction which is to lee-dealt with.

' It further ,comprises ke s which are marked with some of the ractions to be 'dealt in, other fractions being registerable by combinations of keys.

It further comprises keys marked with a singlefraction but adapted to determine the actuation of a plurality of fractionally marked wheels, For "convenience of descrlptlon these.. marked fractions may be considered as of two classes, which may be termed wheel fractions and step fractions, respectively. The former are in value greater than the value of a complete rotation of the lowest wheel and each is composed of thesum of two parts. The

greater part i's'in value equal to one or more steps of .the higher wheel, and the lesser part is in valueequal to one or several steps of the lower wheel. I

It further comprises mechanism by each wheel fraction is, upon the actuation of its key, automatically divided into its said greater" and lesser parts, the greater part registered on the higher wheel (withwhich out necessarily passing through the lower a wheel and thence by carry to the higher wheel), andhthe lesser part registered'upon the lower wheel; also mechanism by which each step fraction key causes the lower wheel to be turned the proper step or steps;

also mechanism by which the accumulation I of said lesser fractional parts or step frac-. tions is carried to-the higher wheel when the aggregate of such accumulation is equal in value to one or moresteps of such higher wheel. The means by which the greater part of a fraction, too great to be registered by less than a complete revolution of a lower wheel, is carried past that wheel without ailecting it andregistered directly onv a higher wheel, has what may be likened to 01; described as a carrying function, and for com'enience I refer to such means as keycarrying devices or means. To the above described elementsare or may be added successively higher orders of digit numeral wheels, to such extent as is convenient for the calculating operations to be performed, and these digit numeral wheels will be provided with proper keys, accumulating mechanisms, carrying mechanisms and canceling or resetting means. Also the fraction system of keys and wheels may be extended to the right, into smaller fractions, with proper key-carrying means enabling such keys to carry past wheels of lower order to wheels of higher order.

The machine is characterized by accumulator values, and by corresponding fractions designated on the keys, all of which values and designations have a common denominator value. As illustrated, the common denominator value is 64. If the 1/64 were removed the common denominator value system illustrated were wheel 11, the machine would be very con-- venient for calculations involving feet,

. inches and fractions of inches down to 64ths.

. marking of the fraction keys.

The key board is further characterized by the designations .of the fractions on the keys, the numerator of all such designations being odd and in most instances prime. Many keys are thus eliminated, fractions which are reducible being registered by prime keys in a higher order. 9

In order to make the invention more clearly understood I have shown in the accompanying drawings means for carrying the same into practical effect, without limiting my improvements, in their useful applications, to the particular construction which, for the purpose of explanation, I have delineated.

In the saiddrawings-Figure 1 isa plan view of a calculating machine embodying the invention, showing a co-digital marking of the integer keys and a complementary Fig. 2 is a vertical and longitudinal section of the same,

on line 2-2 of Fig. 1, most of theealculating'mechanism being omitted from the figure. Fig. 2- shows the rear portion of the frame of the machine omitted from Fig. 2. Fig; 3 is a view similar to Fig. 2, the section being taken on line 3-3 of Fig. 1.- Fig. 4 is a perspective view of a portion of the auxiliary column or numeral wheel actuator.

Fig. 5 is a vertical and longitudinal section of the machine on line 55 of Fig. -1'.-' Fig. 6 is a side view of the right hand or lowest fraction'numeral wheel, with fractions arranged to illustrate its marking. Fig. 7 is a vertical and longitudinal section of the machine on line 7-7 of Fig. 1. Fig. 8 isa side view of the left hand or higher fractionnumeral wheel, with factions arranged to illustrate its, marking. Fig. 9 is a plan View of the machine with the top plate removed, the key stems being shown in horizontal section. Figs. 10, 11 and 12 are vertical transverse sectionsof a portion of the machine respectively on lines 10-10, 1111, and 12-12 of Fig. 2. Fig. 13 is a plan view of a portion of the stop lever mechanism. Fig. 14 is a plan view of the machine showing a co-digital marking of the fraction keys as well as of the integer keys.

The calculating machine herein set forth has four successive orders of ten step digit numeral wheels with corresponding finger keys and accumulator and carrying mechanisms, with one overflow digit numeral I wheel; wheels, of relatively higher and lower orders, with corresponding finger keys and accumulator mechanisms, and with carrying mechanisms operating to transfer the accumulations of value successively from the lower fraction wheel to the higher fraction wheel and from the higher fraction wheel by units to the units order of the digit orders, the keys and wheels being marked to deal with fractions whose denominators in this instance increase by multiples of two (as 2, 4, 8, 16, 32, 64) and other finger keys having key-carrying functions hereinafter set forth; but as to the particular denominators dealt with, andthe extent of the apparatus above unity and belowunity, the invention is not confined to this particular illustrative machine.

Referring to the drawings, the frame of the machine comprises vertical longitudinal side plates and similar intermediate or division plates, 1. They are united into a rigid frame by suitable cross or tie rods 2.

3 is the top plate. The rest of the usual casing including the bottom plate is omitted in the illustrations.

The accumulating'operation, for the additwo fraction eight step numeral all of which are indicated by tion or other calculation to be done, is performed by .the depression of the finger keys 4, the stems 5 of which reciprocate vertically 'n apertures in the top plate, the lower ends of the stems ward by levers 6 and lever springs 7 supported on bottom frame parts 8. The accumulator mechanisms are actuated by shoulders or other projections-on the key stems, and the result of the calculating operation appears on the numeral wheels 10, 11, 12 and 13 (or on some of them), which are mounted to turn loosely on the cross pivot shaft 14 held'in the frame. The said keys are arranged insix orders, a, b, c, d, e, f, andtwo sub-orders g, h with from seven to nine keys in an order, forming a key board as seen in Fig. 1. The orders 0, d, e, f are decimal and'in all respect their keys, accumulator mechanisms, and carrying mechabeing directed and pressed up-.

nisms are or may .be constructed asset forth in my said patents. The canceling device for all of the orders is or maybe constructed as set forth in said patents. Such mechanisms for the digit orders (and also for the' fraction orders, with variations which will be ointed out) comprise the following parts s cient of which have been illustrated here- 'in for the purpose of explanation and understanding of the present invention: Col- "umn actuator segment levers pivotally mounted on a cross rod at 16 on, the frame 1,- and yieldingly held up by accumulator motor springs 17; even and odd stop levers 15 18,19' each of which may comprise two separate co-acting parts, as shown, and which are pivoted to the frame at 20, and the stop detents 21, 22 to engage with the coarse spaced teeth 23 on the column actuator and arrest; the downward movement of the latter; ac-;

- cumulator pinions 24 mounted onthecross pivot accumulator shaft 25 and engaged and;

turnedby the column actuators; accumulatorj ratchets 26 fixed to the pinions 24; lanterni wheels 27 having pawls pivoted thereon and; arranged within the ratchets, whereby thei ratchets turn backward freely but on theiri forward movement rotate the lantern wheels by means of the said vpawls; a back stop pawl 28, and a lockin detent 29, for each lantern? wheel; intermediate gears 30 on the intermediate pickup shaft 31, which are engagedi anddriven by accumulator gears attached to} the lantern wheels and which engage and drive the numeral wheel gears 32; carrying pinions attached to the accumulator gears and meshing with and driving carrying gears on the cross pivot carrying shaft 33, carrying motor springs encircling .the shaft 33 and connecting the carrying gears yield- -ably with rotary escapements 34: on the shaft 33; two armed carrying cams 35 fixed: on the said escapements and given, by means I of the said carrying motor springs and escapements, a half revolution at each half revolution of thecarrying gears or whole revolution of the carrying pinions; carrying levers 36 each' of which is pivoted on the cross pivot shaft or rod 37 and is arranged in line with: the lantern wheel in the next higher order of accumulator mechanism, said carrying levers being raised by the carrying cams at each half revolution of the latter; carrying pawls 38-pivoted, as are the locking 55 detents, on the carrying levers and operating en the pins of the said next higher lantern wheel to move the latter and its accumulator mechanism one step at each carry; carry-detaining latches. 39 to enable two keys in contiguous orders to be simultaneously depressed without losing a carry; cam-actu fated three armed detents 40 for locking the carrying levers; canceling stops 41 for ositioning the accumulator mechanisms an numeral wheels in canceling, mounted on a rock numeral wheel.

bar 42; and resistance levers 43 for modifying the key touch. The canceling means, whereby the numeral wheels are reset at instanceo'f a cross rock shaft 74, crank handle and slotted cam 7 6, These parts oper-.

ate on a canceling device comprising-a segment lever 77 actuated by the slotted cam; a'canceling pinion 78 on the canceling or in- 75 termediate shaft 31 and means by which said shaft may rotate the intermediate gears 30 when the shaft is at a predetermined point relative to the gears. The canceling means also comprise devices effecting a one-space 30 adding movement of the column actuators, consisting of a transverse bar 79 adapted to depress the column actuators one space, which bar is reciprocated vertically by the slotted cam through the medium of arms 80, which carry the bar at their ends and are pivotedat 81 to the frame '1. All of these parts are or may besimilar to those set forth in my said patents.

The columns h and 9 representing frac- 151)- tions of larger denominators do not have their own numeral wheels and are not true orders, but the Values represented on their keys are accumulated on the wheels 10 and H 11 by key-carrying means hereinafter de- Q73 scribed, including an auxiliary column or numeral wheel actuator, and they may for convenience be termed sub-orders. 'It will be seen that, by the use of one'or more suborders of keys without numeral wheels, to- '1'00 .gether with means for communicating the movements of such sub-keys to a numeral wheel or wheels in higher orders, .a great range'in the calculation of fractions isattained without minutely sub-dividing any Such range of calculation of fractions is increased as the denominators of the fractions successfully operated with increase. Inthe example of the inven- I tion illustrated I have employed two suborders of keys 'and'twonumeral wheels to which the movementsof said keys are communicated, and by these means, with appropriate markings and connections of the keys,

I can calculate in all simple fractions hav-- in}: sixty-four for a denominator. -By a less number of keys, fractions having smaller denominators could be calculated; and by ex- ,numeral wheel 11 through the media-of the parts 71,- 62 and 15, hereinafter described. I, The keys in order 0 operate the decimal nu- .meral wheel 12 in lindtherewith, and, by

carrying, operate the next higher wheel 12; and similarly the keys of orders (I, e, and f,

v of the next higher wheel 11, and such comsuitable to turn the lantern wheel of the.

operate their respective numeral wheels and respectively. The wheel 11 is an eight step wheel, the value of one of its steps being one ei hth, and it is divided and marked in eighths (Fig. 8). The keys of order I) will respectively turn this wheel the number of steps indicated on the keys, and one complete revolution of it will cause a carry of one to the wheel 12 of order 0. The value of 'a complete revolution of the wheel 10 of order 0: is the same as the value of one step plete revolution gives the proper carry of one eighth, to the wheel one step, in value 11. The steps of'the wheel 10 represent fractions the denominator of each of which is a multiple of the denominator of each of the fractions represented on the wheel 11, and its keys of order a are correspondingly marked. In this instance thevalue of each step of the wheel 10 is one sixty-fourth, and consequently it is divided into eight steps to make the value of its complete revoi lution equal to the value (one-eighth) of one step of the next higher wheel 11, and it is correspondingly marked (Fig. 6). Its complete revolution makes the correct carry of one-eighth to the wheel 11. The accumulator mechanisms of the wheels 10 and 11 have column actuators 15 provided with four stops, ratchets 26 of eight steps and lantern wheels 27 of eight pins, and the carrying mechanism which operates between the wheels 10 and 11 has a carrying cam 35, carrying lever 36 and carrying pawl 38 fraction wheel 11 one eighth of a revolution at each carry. Such carrying mechanism is set forth in the application of G. S. Bol-- lensen, Serial No. 723,035. --filed Sept. -30,

1912. The carry from the fraction wheel 11 p to the next higher digit wheel 12 is the usual one-tenth revolution of the latter. Referring to the key board and the particular fractions-indicated thereon, it will be seen ator 15,-'depressed by the key stem shoulder 5, at such degree of depression that its rismg Wlll rotate its accumulator mechanism to correspond with the marking on the key depressed. Thus, the 1/8 key will cause the detent 21 to engage beneath the bottom of the lowest coarse spaced tooth at 23; the 7/8;

rotates key will cause the same detent to engage beneath the column actuator 15 at the top of the uppermost coarse spaced tooth; and the intermediate keys will correspondingly cause one or the other of the said detents to engage beneath one or the other of the coarse spaced teeth, as-may be required to actuate the accumulator mechanism to correspond with the marking of the key which is depressed. The column. actuator for this purpose for use with an eight step numeral wheel, is provided with four stopping shoulders formed by the bodyof the actuator and the bottoms ofv the three coarse spaced teeth. All of the keys of the order I) thus do, or may operate directly on their column actuator, and the registry of all eighths is provided for. According to the usual notation of fractions the 2/8 key is marked 1/4, the 4/8 key 1/2 and the 6/8 key 3/4. In order a are provided keys for all of the odd sixteenths, adapted to cause the actuation of the fraction numeral wheel 10. These eight keys, together with the keys of order 6,

cover the whole range of sixteenths, for the I even sixteenths will be registered by the latter keys; 2/16 by the 1/8 key, 14/16 by the 7/8 key, and correspondingly for the intermediate even sixteenths. served that the keys of order a are arranged side by side with the keys of order I) in such manner that the value of each key in ordera is 1/16 more than the value of its opposite It will be ob-.

key in order 6; for example 15/16=7/8 plus 3 1/16, and so on;-and" if each key in order a be enabled to. actuate'its opposite key in the eighths order and atfthe same time to actuate the fraction wheel 10 for a value of 1/16, the-correct value of such key so de- 1 pressed in order a will be registered. Thus, the 15/16 key would depress the 7/8 key, registering 7/8 on fraction wheel 11, and would turn the fraction wheel 10 for a value of 1/16 (one half revolution), registering I the correct total by the sum ofthe turnings of the two wheels, and attaining the important advantage of getting the desired result by the depression of a single key. The

mechanism intervening between and opera- 2 tively connecting the keys in order a and .the fraction wheel loand the keys in order I), will be later referred to. In the order. a is included a 1/64 key which operates on the extreme front ends of its stop lever 19 i and column actuator 15 (Fig. 5) to turn the fraction wheel 10 one' step. Sub-orders h and g difler from each other in the amount of rotation which their keys impart to the fraction wheel 10; on the other hand they are all thirty-second keys and may be con sidered togetherQ Only-odd thirty-second keys are employed, all even thirty-seconds being registered b a sixteenth key. Thus 2/32 are registere by the 1/16 key, 30/32 'ators shall progr are registered by the 15/16 key, and so for the intermediate even thirty-seconds. The odd thirty-second keys are arranged in the two sub-orders k and 9 so that their numeress by four (1/32, /32, 9/32, etc., and 3/32, 7/32, 11/32, etc.,) and so that they shall be respectively opposite or within convenient reach of the keys in order 5 whosevalues they respectively'ap proximate. Thus the 5/32 key and the 7 /32 ey are arranged laterally opposite to the 1/8 (4 32) key; the 29/32 and 31/32 keys are opposite to the 7 /8 (28/32) key. The

' result of the described arrangement is that the value of each key in sub-order h is -1/32 greater than the value of the opposite key in order 6, thus 5/32 are equal to 1/8 plus 1/32, and 29/32 are equal to 7/8 plus 1/32,- and so for the intermediate keys Therefore, if each key in suborder be enabled to actuate its opposite key in order 6 and at the same time to actuate the fraction-.wheellO for a value of 1/32 (one quarter revolution), the cor-. rect value of each key in sub-order it would be registered when it was depressed. Similarly for eachkey in sub-order 9, only they not connected across to any key of'order b,

but operate to actuate the fractionwheel 10 individually. f v

I will now describe key-carrying devices or mechanism'suitable to perform the above mentioned functions. The auxiliary column or numeral Wheel actuator, by which the actuations of keys of the lower orders, or representing the fractions of larger denominators are transmitted to wheels in higher orders, or which (whatever values they represent) are situated out of the line of-or laterally remote from the numeral wheels which they are to operate, preferably comprises parallel moving bars 44 and 45. These bars are arranged side by side along the rows of key stems from frontto back of the key board and are adapted to be engaged and depressed. by shoulders on, or rigid arms extending from, such key stems. The exact location and arrangement and means of supporting such bars are matters of choice and convenience, so long as they may be properly acted upon by the keys, and may in turn properly actuate the numetal wheel or wheels to be rotated by such keys. In the construction illustrated 46' is a cross rod fitted in apertures in the bars the rear ends of thevsame. 47 indicates bell crank levers attached to a transverse rock bar 48 pivotally. mounted at 49 on the frame 1.' Each of these bell levers has a forwardly extending arm 50 anda downwardly extending arm 51, the arms 50 having pivotal 5 44, 45 and serving as a pivotal support for connections with the cross rod 146 and yie'ldingly supporting the rear partsof the bars 44, 45., The forward parts. of the said bars are yieldingly supported by the forwardly extending arms 52 of bell levers 53, which are pivotally su ported on'the cross rod 81 mounted in the ame 1. The levers 53 have downwardly extending arms 55 correspond- .ing with the'arms 51, and the four arms, 51,

51, 55, 55 are pivotally connected in pairs by horizontal links 56. There is thus formed a parallel acting or reciprocating frame, the even upward and downward movement of the'bars 44, 45 of which is convenient forthe transmission of key actuations to a numeral wheel which is laterally remote from such keys. This frame, which may be more briefly referred to as a reciprocating frame, neednot however, move up :struction shown the rear end of this frame has a littlemore vertical movement than the front end for the purpose, among others, to aid in equalizing the key strokes, both in and down equally at'both ends. In the conlength and in pressure required. The frame .is held up yieldin'gly at the proper normal level by spring pressure, and it maybe so supported by one or more springs 57 con,

' necting the said auxiliary actuator with the frame 1 (Fig. 2). 58 is a forwardly ex- -tending arm fixed on the rock. bar 48 and I supporting the inneror left hand end of the rod 46, which is extended into the order or column a over the column actuator 15 and stop levers 18, 19 thereof. .The upward and downward parallel moving bars 44,45

are well adapted toreceive the same amount 1 of depression from anyone of the, keys in order a and communicate such movement to a column actuator, at whatever distance such key may be from the pivot '16 of the column actuator, and'they can perform the same function for the keys in sub-order h, and also for the keys in sub-order g. 15' is an upward projection on the column actuator 15 in the third column of mechanism, in

line with order a. The cross rod 46 of the auxiliary actuator bears on this projection so that the column actuator will be depressed by and with the auxiliary actuator. Also the said cross rod will, on such depression, engage the stop lever 18 in the third column (Fig. 12)? and cause the column actuator to be properly arrested by the de; tent '22 (Fig. 5). The rod-engaging part 18' of this stop leverinthe third column is of such height relative to the height of the rod that such arrest of the column actuator will cause it to have, as it rises and actuates its accumulator mechanism and'the fraction wheel 10, a value of 3/32; and this particu-' *lar actuation of the reciprocating frame comprising the bar 44 is caused by each of the keys of order 9 engaging the said bar by a shoulder 60 on its stem (Figs. 2, 10 and to'the stems of'the latter keys. The depression of any of the keys in sub-order 9 con- I sequently depresses its opposite key in order b and registers one or more eighths on fraction wheel 11, and at the same time depresses the reciprocating'frame and registers 3/32 on the fraction wheel 10, thesum of the two registries being equal to the fraction designated on the key of sub-order g which is so depressed. I

The keys of sub-order h, which are to actuate the fraction wheel 10, for a value of 1/32, as above explained, operate on shoulders or steps 63 on the bar (Figs. 3, d, and 10) by stops 64: on the key stems, and the reciprocating frame is thereby caused to depress the column actuator 15, 15 by the cross rod 46. The stop ,lever 18, to arrest the column actuator at the proper depth of depression so that on rising it will actuate 12) and its accumulator mechanism and the wheel 10 for a value of 1/32 (two steps), is arranged in the second column (Figs. 3, 10, 11 and on each of the keys in sub-order k. The

- movement of the stop lever 18 in the second column is communicated to a lever arm 66 (Figs. 3 and 9) which is connected with the detent-carrying part of the stop lever in the third column and throws the detent 22 forward to engage the bottom one of the coarse spaced teeth 23 of the said column actuator 15', 15. Furthermore, each of the keys of sub-order h is provided with a key-carrying device consisting of an arm 67 which extends across to the keys of order 6 and en-v gages the top of the said lug 62 of the latter keys. The depression of any of the keys in sub-order h consequently depresses its opposite key in order 6 and registers one or more eighths on fraction wheel 11, and at the same timefdepresses the reciprocating frame and registers 1/32 on the fraction wheel 10, the sum of the two registries being equal to the fraction designated on thekey of sub-order k which is so depressed.

the fraction wheel 10 to register a value of The keys of order a. which are to actuate 2/32 (a half revolution), operate on shoulders or steps 68 on the bar 45 (Figs. 4, 5, 11, 12) by means of lugs 69 on the stems of said keys,

an arm 61 which extends :one or more eighths may be engaged by a shoulder registered by the '1/16 key,

' registered by the proper and the reciprocating frame isthereby caused to depress the column ac tuator 15, 15 by the cross rod 46. These keys, of order a, have stops or shoulders 70 at the left (Figs. 11 and 12)'so arranged as to contact only with the, even stop lever 18 in that column, the timing of ,contact and consequent throwing in of detent 2 2 being such as to arrest the said column actuator at a point from which, on rising, it will actuate its accumulator mechanism including the fraction wheel 10 for a value of 2/32. Furthermore, each of the keys of order'a is provided with a key-carrying device comprising an arm 71 which extends into column or" order 6 (Figs. 9, 11, 12) so as to engage and depress the lug 62 on a key oforder 6. Each of the keys of order a may thus de press its opposite key in order Z) and register on fraction wheel 11, and at the same time depress the reciprocating frame and register 2/32 on the fraction wheel 10, the sum of the two registries be ing equal to the fraction designated on the ke of order a which is so depressed. From the nature of the key-carrying connections, the key-actuating arms of the keys in column g, h, and a which extend into order I) merely engaging on the tops of lugs 62, each key in order, 6 can be independently depressed to register eighths or even sixteenths without being obstructed by such connections and without afiecting any key,

accumulator mechanism or numeral wheel of In the calculation of odd sixty-fourths only is it necessary, in the par-' lower order.

ticular machine illustrated, to employ two keys. "There is only one key shown on which 64 is designated as the denominator,

may be noted that by the provision of this single-additional key the capacity of the machine is doubled. This key registers a value of 1/64 on the fraction wheel 10,.operating in the usual manner through the column ac- 'tuator, odd stop lever and detent 19, 21, and accumulator mechanism of order a.- 2/64 are registered by the 1/32 key in the second column, operating, through the reciprocatw ing frame, are registered by the successive depressions of the 1/32 and 1/64 keys; 4/6 tcould be which acts directly on the column actuator-.in {order a, but ths fraction would be ordinarily written 1/16; 5/64.- are registered by the succesand this .is the 1/64 key at the front of order a. It

sive depressions of the 1/16 and 1/64 key.

All of the even sixty-fourths (which would usually be written as thirty-seconds) are 32 for a denominator. dd 64:ths are registered by the successive depressions of the proper 32nd key and of the 1/64 key. The prime 16th keys may have the corresponding even 32nd designated on them, and the prime 32nd keys may have the even 64ths rlme keys having designated on them; and the 8th keys in order I) may have the even 16ths designated on them; such additional markings being in accordance with the principle of the invention and not necessary to be further set forth. I

There are some special features in the duplex action of the machine, by which I mean the simultaneous depression of keys in contiguous columns or orders. All of the orders 6, c, d, a and 1 may be 0 erated in duplex with accurate result, whic will be the correct sum of the designations of the keys so depressed at the same time. Also the 1/64 and 1/16 keys may be operated simultaneously with any key in any higher order; and

the 1/32 or the 3/32 key may operated at the same time with any key in order I), or

order higher than the latter. The keys which are connected across to the ke s of order 6 cannot be operated with the atter keys to give the sum of the readings on two such keys. But any of such cross connected keys may be operated at the same time with the keys of orders 0, (A, e and f and a correct result obtained. I

For convenience in assembling the machine a portion of the top plate 3 is made removable. This is conveniently effected by making said top plate, where it holds the keys of the fractional orders, of separate strips 82 extending transversely between the keys and'for ed with notches 83 in which the key stern work vertically. The strips 82 rest on and are screwedto longitudinal bars 84 attached to the underside of the top plate '3. The keys having lateral key carrying arms may be put in place, and afterward the strips 82 are fitted between the key stems and secured.

For the subtraction of fractions, and other negative calculations, it is in some respects more convenient, in the use of the machine, to have the fraction keys provided with complementary designations or markings, re-

taining the usual co-digital marking of the integers, as illustrated in Fig. 1. Then when the subtrahend is awhole number, that is, containing only integers and no fraction, the integer keys are operated according to the usual rule for co-digita], marking. But

when the subtrahend is either a mixed numher or a fraction only, the usual rule is deviated from by strikin the right hand significant subtrahendgure (which is the fraction) on the key negatively marked with the same fraction, instead of the key negatively marked with the fraction next lower in value; and the integer figures of such mixed number subtrahend are all struck on the keys'negatively marked with those same v figures (except of coursethat, as usual, 9s

are disregarded). Thus in the subtraction of fractions, using the key board shown in Fig. 1, the key denoting the subtrahend is selected according to its exact marking, in

the smaller figuresat the left of the regular.

markings used in addition,'which latter arethe large figures. For example, to subtract 1930-3/8 from 34561/16. The minuend 3456-1/16 is first set up on the numeral wheels, which-will read 3456-1/167; this is done bystriking the keys so marked; then keys normally (large figures) numbered 8 69 (no key being struck for the .9), holding the subtraction lever at the leftoforder f;

the result will be 1525-1/16 then strike the fraction key the complementary marking of which is 3/8, which will be the key positively or normally marked 5/8; the result will be 1525-5/8-1/16. Again, to subtract 8765-31/64 from '9876-29/64 the minuend is first set up on the numeral wheels which will read 9876 3/8 5/64; this is done by striking the 7/16 and 1/64 keys which represent 29/64, which latter is also represented by 3/8 and 5/64; then 8765 is struck on the integer keys of orders I", e, d'

and 0, according to the co-digital markings in small figures, which will be the keys normally numbered 1, 2, 3 and 4; the result will read 1110 3/8 5/64. The fractional part of the-subtrahend, 31/64, is equal to 15/32 plus 1/64, therefore the key marked 15/32 m'small figures is struck; 1f no key normally marked 63/64 (which would be negatively marked 1464') is provided, the strikingof which would subtract 1/64, the

same result is attained by striking the normal (large figures) 31/32 and 1/64 keys. The subtraction of the final 1/64 is a separate subtraction operation and of course reuires the holding of a subtraction lever at t e left of enough of the minuend to contain the 1/64 subtrahend, and also requires striking the keys negatively marked zero in the integer columns, if any zeros'are intermediate such subtraction lever and the fractional wheels- In the instance last above given the subtraction lever at the right of the units column is the proper lever to hold,

and the subtrahend contains no zeros which require the striking of the said zero keys.

The subtraction levers are shown at 86, 87. The manipulative end of the subtrac tion lever 87 between the two fraction wheels is omitted to prevent error by the operator in using the wrong lever, the sald lever 87 only having a function in canceling, and'the lever 86 between the units wheel and the higher fraction wheel being the proper one to use when subtracting on the fraction wheels, and when the prevention of a carry to the units wheel is required.

A 63/64 key may be provided, as shown in dotted lines in Figs. 1 and 14 operating, by the column actuators, on the two fraction tion lever between columns 6 and c.

wheels, to register seven steps on both the higher and lower of said fraction wheels, such registry being 7/8 plus 7 /64 aggregating 63/64:.

WV hen the fraction keys are (Jo-digitally marked'the operator, in performing'negative calculations, may apply the usual codigital rule throughout the key board; that is to say, for the last significant figure of the subtrahend, and considering a fraction as significant, he will depress the key next lower than that on which is co-digitally designated such last figure. A keyboard marked for this system is shown in Fig. 14.

If the operator desires to subtract 3/ 8 from 1-3/4 he will depress the key having the 00- digital marking (in said Fig. 1a) next lower than 3/8, which will be the key in order 72, marked in small figures 1/4 (which key is the key positively marked 5/8), preventing a carry by pressing the subtrq'faic- 1e result shown on the numeral wheels will be 1-3/8. If the operator use the complementary systemillustrated in Fig. 1 he will depress the key'there marked in small figures 3/8 (which will be the same 5/8 key formerly used), with the same result.

By Foo-digital markings or designa-' tions on the keys I intend such negative markings the, sum of which with the positive markings of the same keys is equal to the value of the rotative steps or positions less one of the numeral wheel actuated by the keys in question: the complementary markings aggregate with the positive markings a number which is equal to the value of all of the steps of the numeral wheel.

It will be understood that the designation of the denominator need not be actually on the top of the key. It may be indicated on the top plate of the machine at the front of the column to which it belongs, and only the numerators of such denominator designated on the key tops.

What I claim is k I 1. In a calculating machine for registering and calculating common fractions, mechanism for registering separately at plurality of the component parts of such fractions, and actuating mechanism for jointly actuating such registering mechanism to register by a single operation the component parts that together equal the fullvalue of the fraction, substantially as specified.

2. In a calculating machine, the combination of a plurality of fraction numeral wheels of higher and lower orders, keys marked to indicate fractions, and means whereby a key afi'ects said wheels jointly and causes the value of its fraction to be registered in separate parts respectively on the said wheels, substantially as specified.

3. In a calculating machine, the combination of a plurality of fraction numeral wheels of higher and lower orders, keys marked to indicate fractions, means whereby a key affects said wheels jointly and causes the value of, its fraction to be registered in separate parts respectively on the said wheels, and carrying mechanism arranged operatively between the said wheels, substantially as specified.

4:. In a calculating machine, the combination of a plurality of fraction. numeral wheels of higher and lower orders, keys, marked with fractions of a value greater than the value of one revolution of the lower wheel, and means whereby such a key affects the said wheels jointly, to cause the higher wheel to be turned to register that part of the fraction, indicated by the key, --which is equal in value to a revolution of the lower wheel, and to cause-the lower wheel to be turned to register the remainder 5 of said fraction. j

5. In a calculating machine, the combination of a plurality of fraction numeral wheels of higher and lower orders, keys marked with fractions of a value greater 0 than the value of one revolution of the lower wheel, means whereby such a key acts on the said wheels jointly, to cause the higher wheel to be turned to express that part of a fraction which is equal in value to the registering value of one or more full revolutions of the lower wheel, and to cause the lower wheel to be turned to register the re mainder of said fraction, and carrying mechanism arranged operatively between the said wheels, substantially as specified.

. 6. In a calculating machine, the combination of a plurality of fraction wheels of higher and lower orders, an order of. odd

higher and lower and including carrying mechanism arrangedto carry from a lowerto a higher-order; and key-carrying device's whereby the keys of a lower order cause'the higher order irrespective of the said carrying mechanism, substantially as specified.

8. In a calculating machine, in combination: keys, accumulator mechanisms composing 'a plurality of orders respectively 125 higher" and lower and including carrying mechanism arranged to carry from a lower to a higher order; and key-carrying devices whereby the keys of a lower order actuate the keys and cause the actuation of accumuand even finger keys having means for ac-' posing a plurality of orders respectively actuation of accumulator mechanism of a' lator mechanism of a higher order irrespective of said carrying mechanism, sub-- stantially as specified.

9. In a calculating machine, the combi- .nation of a plurality of fraction numeral wheels of higher and lower orders, a higher order of keys adapted toactuate a higher fractlon numeral wheel, a lower order of keys and a reciprocating device whereby all of the keys of lower order equally actuate the lower fraction numeral wheel, and key-carrying devices whereby the keys of lower order actuate the fraction numeral wheel of higher order, substantially as specified.

' 10. In a calculating machine, the combination. of a higher order of keys,- accumu latormechanism actuated thereby; a lower 'order'of keys, accumulator mechanism actuated by said lower-order of keys; a carrying mechanism operating between the said accumulator mechanisms; and connections whereby the keys of lower order actuate the accumulator mechanism of higher order irrespective of said carrying mechanism; the higher order being free for action irrespective of the accumulator mechanism of lower order; substantially as specified.

11. In a calculating machine, the combination of a higher order of keys, accumulator mechanism actuated thereby; lower order of keys, accumulator mechanism actuated by said'lower order of keys; a carrying mechanism 0 crating between the said accumulator mec anisms; and connections whereby the keys of lower order actuate the accumulator mechanism of higher orderirrespective of said carrying mechanism; the eys andaccumulator mechamsm of higher order being free. for action irrespective of the accumulator mechanism of lower order; and a reciprocating part which transfers equal movements from each key of lower order to the accumulator mechanismof lower order; substantially as specified.

' 12. In a calculating machine, a multipleorder keyboard having a higher order of keys on which are designated a series of fractions, and having a lower order of keys on which are designated a series of fractions the denominators of which are multiples ofthe denominators of the fractions in the higher order and the numerators of which are odd, substantially as specified.

13. In a calculating machine, 'a multiple.- I i nal actuating and carrylng mechanisms, 1n

higher order and the numerators of whichare odd, and having an additional key on eys and accumulator mechanism of c which is designated a fraction the numerator of which is one and the denominator of which is a multiple of the said denominators of the lower order, substantially as specified.

'14. In a calculating machine having ordi-' nalactuating and carrying mechanisms, in combination: a higher order of keys, accumulator mechanism actuated thereby, a lower order of keys, and accumulator mechanismactuated by said lower order of keys, the keys of higher order having a series of fractions designated thereon, and the keys of lower order having fractions designated thereon the numerators of which are odd and the denominators of which are multiples of the denominators in-the higher order, substantially as specified. 15. In a calculating machine, combination: a numeral wheel with" common-fractional markings; mechanism for actuating the wheel and keys forming apart of said actuating mechanism thenumber of keys exceeding the number of markings of the wheel; substantially as specified. 16. In a calculating machine, 1n combination: a numeral wheel; keys and mechanism for actuating said wheel; and a reclprocating frame forming part of said mechanism whereby a plurality of columns or groups of keys are used to actuate said frame and the number of keys exceed the markings on the wheel; substantially as specified.

17 In a calculating machine,.in combination: a numeral wheel; mechanism for actuating. said wheel; stops for regulating the additive degree of such mechanism; said stops having a reciprocating frame with two or more contact arms andkeyscontroll ng said actuating mechanism; the keys acting on the contact arms of the levers andthe keys exceeding in number the markings on the wheels; substantially as specified.

. 18. In a calculating machine having ordinal actuating and carrying mechanisms, in combination: two or more numeralwheels provided with mechanism for prime actuation; and a series of keys controlling the actuatin mechanism of the said numeral wheels, or separate degrees of wheel movement'and accumulation, the total of-which is equal to that designated by the operated key, so that the manipulation of a slngle key will control the simultaneous movement'of the said numeral wheels; substantially as specified.

19. In a calculating machine havlng ordicombination: twoor' more'numeral wheels, each having independent means of prime actuation and a series of keys, the manipulation of any one of which may control the said independent means of actuation of a plurality of the said wheels so as to cause Simultaneous wheel actuat1on the sum of the the markings of said keys having values of which is equal to that designated by the key which is operated; substantially as specified.

20. in a calculating machine having ordinal actuating and carrying mechanisms, ini accumulator 1 wheels having common fractional markings, g each wheel of higher order being multiples of the value of the accumucombination: two or more lative' degree or step of the wheels of lower order; means for prime actuation of the wheels; and keys controlling said actuation, E are in the form i common fractions; substantially 1 5 marked and having negative co-di-gital the markings of which keys of reduced as specified.

21. In a calculating machine having ordirial actuating and carrying mechanisms, in combination:- two or more accumulator wheels having common fractional markings, each having independent with reduced common fractional markings acting upon the said actuating mechanisms so that the manipulationo'f any one or the will cause the Wheels to be simultaneously actuated to an accumulative degree equal to the marking on the key. so manipulated; substantially as specified.

22. In a calc lating machine having ordinal actuating and carrying mechanisms, in combination two or more accumulator wheels common fractional markings each having independent prime actuator mechanism for prime actuation; a series of keys for each mechanism provided with reduced common fractional markings for independently controlling said actuator mechanisms; and another series of keys for simultaneously controlling the said mechanisms by a single key manipulation; substantially as specified.

'23. In a multiple-order keyboard calculating machine, in combination "with an order of keys designating integers, and an accumulator mechanism therefor; an order of keys on which are designated common fractions and an accumulator mechanism therefor; a lower order of keys on which are designated common fractions and an ac- .cumulator mechanism therefor; '51 carrying mechanism between each lower ancumulator mechanism and the next higher accumulator mechanism; and means whereb keys of said lower fractional order are-adarpted-toactuate",

a higher accumulator mechanism irrespective of the cargging mechanism; substam tially as specifi 1 24. In a caleidaiting machine, a

mechanism forprime actuation; a series of keys provided emma order key board, having denominational series of integer keys, and denominational series of fraction keys, the integer keys being positively marked andhaving negative codigital markings, and the fraction keys having positive markings and complementary Iegative markings, substantially as speci- 25. In a calculating machine, a multiple order key board, having denominational series of integer keys, and denominational orders and sub-orders of fraction keys, the keys of the sub-orders having key-carrying means, the integer keys being positively markings, and the fraction keys having positive fraction markings and complementary negative traction markings, substantially as specified.

26. In a calculating machine having ordinal actuating and carrying mechanisms, the combination of a plurality of numeral Wheels, the said'wheels having fractional markings, the denominator of the fractionrepresenting the value or one step of rotation of the lowest wheel being a common denominator of all of the fractions representing the various valueso t the steps of rotation of all the wheels, and the sum of the fractional markingson all of the wheels, representing respectively the values of all of the steps-of rotation less one of each wheel, being equal to unity less the value of one step of rotation of the lowest wheel, substantially as specified.

27. In a calculating machine, combination: accumulator mechanism including integer numeral? wheels, a pluralityof fraction numeral, wheels; and carrying mechanism; deno national series of integer keys and of fraction keys said accumulator mechanism; a canceling device-and controlling means therefor; and subtraction devices forcontrolling the carrying mechanism, the subtraction device for controllin the carrying between fraction wheels being protected from operation in for actuating the negative calculation; substantially as speci- I Signed by 1e13, in the presence of nesses,

nie on the 27 y of Mulch two subscribin Ha N. W,

Kun'rzi 

